Absolute continuity of the law for the two dimensional stochastic Navier-Stokes equations

DOI10.1016/j.spa.2018.05.015zbMath1415.60059arXiv1702.01597OpenAlexW2598543159WikidataQ129696668 ScholiaQ129696668MaRDI QIDQ1999915

Margherita Zanella, Benedetta Ferrario

Publication date: 27 June 2019

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01597

zbMATH Keywords

Malliavin calculusGaussian noisestochastic Navier-Stokes equationsdensity of the solution

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (3)

Averaging principle for multiscale nonautonomous random 2D Navier-Stokes system ⋮ Stochastic vorticity equation in \(\mathbb{R}^2\) with not regular noise ⋮ Averaging principles for stochastic 2D Navier-Stokes equations

Cites Work

• Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity
• Existence and regularity of the density for solutions to semilinear dissipative parabolic SPDEs
• Stochastic integrals for SPDEs: a comparison
• Criteria for hitting probabilities with applications to systems of stochastic wave equations
• Kolmogorov equations for stochastic PDEs.
• Statistical properties of stochastic 2D Navier-Stokes equations from linear models
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Regularity of the density for the stochastic heat equation
• Density formula and concentration inequalities with Malliavin calculus
• Malliavin calculus for white noise driven parabolic SPDEs
• On the density for the solution of a Burgers-type SPDE
• Dissipativity and invariant measures for stochastic Navier-Stokes equations
• Absolute continuity of the law of the solution to the 3-dimensional stochastic wave equation.
• On the stochastic Burgers' equation in the real line
• Stochastic 2-D Navier-Stokes equation
• Two-dimensional Navier-Stokes equations driven by a space-time white noise
• Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy.
• On stochastic partial differential equations with spatially correlated noise: smoothness of the law.
• Stochastic 2D hydrodynamical type systems: well posedness and large deviations
• Existence and uniqueness results for semilinear stochastic partial differential equations
• Hitting probabilities for systems of non-linear stochastic heat equations with multiplicative noise
• Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
• Vorticity and Incompressible Flow
• UNIFORM BOUNDS FOR EIGENFUNCTIONS OF THE LAPLACIAN ON MANIFOLDS WITH BOUNDARY*
• The Malliavin Calculus and Related Topics
• Burgers equation driven by a space-time white noise: absolute continuity of the solution
• Cahn-Hilliard stochastic equation: Existence of the solution and of its density
• Stochastic Equations in Infinite Dimensions
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